Roulette Lab · Lab · Physics · 7 min

Roulette Ball ki Physics

Conical track par ek chhoti ball, jo sirf speed ke sahare tiki hai.

Chhota jawab

Roulette ball tab tak track par rehti hai jab tak centripetal zaroorat track ke jhukaav se poori hoti hai. Ek threshold speed se neeche slow hone par woh apron se neeche ludhakti hai, deflector se takrati hai, aur bikhar jati hai.

material
ivorine / Teflon
diameter
18–21 mm
threshold speed
track angle se tay
mass
kuch grams

Ball

Pehle haathi daant, phir ivorine (ek celluloid), ab aam taur par Teflon ya waisa hi polymer, 18 se 21 mm chaudi, kuch grams ki. Casinos kai sizes rakhte hain aur badalte rehte hain, kyunki chhoti, halki ballsaamanBallChhoti ball jo rotor ki ulti disha mein track par chhodi jaati hai. Aaj ki balls ivorine ya Teflon ki hoti hain, 18–21 mm.Poora padhein → fretssaamanFretWheel par do pockets ke beech ka metal divider.Poora padhein → par zyada uchhalti hai aur zyada door bikharti hai, jo house ke liye achha hai. Ball non-magnetic honi chahiye aur uski golai check ki jati hai; jo ball poori gol nahi hoti woh jaldi aur bina tarteeb gir jati hai.

Calipers ball ki golai check karte hain; magnet pakka karta hai ki woh non-magnetic hai.

Track par

Jhuke hue gol track par ball ko ghoomte rehne ke liye mv²/r ka centripetal force chahiye. Jab tak ball tez hai, track ki deewar yeh deti hai. Ball slow hoti hai toh zaroori force ghatta hai, jab tak jhukaav ke saath gravity ka andar wala hissa us had se zyada na ho jaye jo geometry sambhaal sakti hai, aur ball ludhak jati hai. Critical speed sirf track ke radius aur angle par nirbhar hai, isliye kisi ek wheel par drop speed har spin mein lagbhag constant rehti hai, aam taur par 1 se 1.3 m/s.

track parkya ho raha haiiska matlab
tez lapsdeewar centripetal force deti hai; friction aur drag ball ko slow karte hainlap times predictable tarike se lambe hote hain
slow honacentripetal zaroorat us had ki taraf girti hai jo gravity de sakti haidrop kareeb
critical speedjhukaav ke saath gravity ka hissa track ki pakad se zyadaball track chhodti hai
aprongravity se andar ludhakti haideflector ki taraf
Track par deceleration mote taur par v′ = −(a + b·v) hai: ek constant friction term aur speed ke anupaat mein ek drag term.

Deceleration ka pattern

Rolling friction lagbhag constant rate se energy hatata hai; ball tez ho toh hawa ka drag zyada hatata hai. Dono milkar har lap ko pichhle se ek predictable maatra lamba bana dete hain. Lagatar do ya teen lap times naapkar aap friction aur drag constants fit kar sakte hain aur andaaza laga sakte hain ki ball kis lap par giregi. Saaf wheel par yeh andaaza second ke kuch dasve hisse tak sahi hota hai; timing-based predictors yahi naapte hain, aur deceleration page hisaab dikhata hai.

Bikhraav

Track chhodne ke baad ball apronsaamanApronBall track aur pockets ke beech ka dhalaan wala hissa, jahan deflectors lage hote hain.Poora padhein → paar karti hai aur aam taur par aath deflectorssaamanDeflectorApron par lage metal ke rukawat jaise tukde jo girti hui ball ko idhar-udhar bikher dete hain. Doosre naam: canoe, diamond, pin.Poora padhein → mein se kisi ek se takrati hai. Kaun sa, aur kis angle par, yeh tay karta hai ki woh “drop pocketsaamanPocketRotor ke 37 numbered khaanon mein se ek. Doosre naam: slot, cup.Poora padhein →” ke paas giregi ya chauthai wheel door. Phir woh frets ke paar uchhalti hai, kabhi-kabhi jis pocket mein ghus chuki hai usse wapas bahar kood jati hai. Bikhraav har wheel ke liye drop point ke neeche wale pocket ke relative aakhri pocket ke distribution ke roop mein naapa jata hai; modern wheels par yeh aam taur par dono taraf 10 se 15 pockets tak phailta hai, aur kuch wheels do ya teen modes dikhate hain kyunki kuch khaas deflectors se zyada baar takkar hoti hai.

Udaharan bikhraav: drop pocket ke relative aakhri pocketspins ka %
−15 ya zyada
6%
−10 se −14
9%
−5 se −9
14%
−1 se −4
17%
0 (drop pocket)
6%
+1 se +4
17%
+5 se +9
14%
+10 se +14
10%
+15 ya zyada
7%
spins ka %
08.5017%
Banaya hua lekin aam shape. Asli distributions har wheel, har ball, har disha ke liye naape jate hain, aur ghisaai ke saath badalte hain.

Player ke liye iska matlab

Drop tak sab kuch siddhaant mein jaana ja sakta hai aur bina equipment aur der wali bets ke practice mein bekaar hai. Drop ke baad sab kuch is tarah design kiya gaya hai ki jaana na ja sake. Nateeja aisa game hai jiske outcomes isliye random nahi hain ki physics random hai, balki isliye ki unhe predict karne ke liye zaroori jaankari track aur pocket ke beech mit jati hai.

Sawaal

Kya bhaari ball odds badalti hai?

Odds nahi. Bikhraav badalta hai: bhaari balls kam uchhalti hain aur jaldi ruk jati hain.

Casinos balls kyun badalte hain?

Taaki jisne ek ball ke liye predictor calibrate kiya ho woh haar jaye, aur kyunki balls ghis jati hain.

Kya ball wheel se bahar ja sakti hai?

Kabhi-kabhi, zor ke launch ya ghise track par. Spin void ho jata hai.

Thodi hansi

Speed se tiki. Friction se giri. Design se bikhri.

Speed se tiki. Friction se giri. Design se bikhri.

Sources

  1. Small, M. & Tse, C. K. “Predicting the outcome of roulette.” Chaos 22(3), 2012.
  2. Bass, T. A. The Eudaemonic Pie. Houghton Mifflin, 1985.
2026-09-28 ko review kiyamodel: European, single zero walamethodology ↗sources ↗